4012041048064 has 351 divisors, whose sum is σ = 9952131076797. Its totient is φ = 1612149030912.

The previous prime is 4012041048031. The next prime is 4012041048089. The reversal of 4012041048064 is 4608401402104.

The square root of 4012041048064 is 2003008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3123561369600 + 888479678464 = 1767360^2 + 942592^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15254908797 + ... + 15254909059.

Almost surely, 2^{4012041048064} is an apocalyptic number.

4012041048064 is the 2003008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012041048064

4012041048064 is an abundant number, since it is smaller than the sum of its proper divisors (5940090028733).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4012041048064 is an frugal number, since it uses more digits than its factorization.

4012041048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 4012041048064 in words is "four trillion, twelve billion, forty-one million, forty-eight thousand, sixty-four".